The Argument of Mathematics

2014.06.02 : View this Review Online | View Recent NDPR Reviews Andrew Aberdein and Ian J. Dove (eds.), The Argument of Mathematics, Springer, 2013, 393pp., $179.00 (hbk), ISBN
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2014.06.02 : View this Review Online | View Recent NDPR Reviews Andrew Aberdein and Ian J. Dove (eds.), The Argument of Mathematics, Springer, 2013, 393pp., $179.00 (hbk), ISBN 9789400765337.   Reviewed by James Robert Brown and Kevin Kuhl, University of Toronto Andrew Aberdein and Ian Dove attempt to bring together recent research in philosophy of mathematics that deviates from a longstanding tradition of viewing mathematics as being concerned with deductive mathematical proof. We need to say a few words about argument and argument theory before launching into a discussion of the various chapters. As the term is used in this book, argument theory seems to mean almost any sort of non-deductive inference. This, of course, includes standard ampliative techniques from enumerative induction to Mill's methods, to Bayes's theorem. It also includes analogical inference and even reasoning from diagrams. If these techniques are allowed in physics, why not in. . .

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News source: Notre Dame Philosophical Reviews // News

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